Displaying similar documents to “Properties of solutions to second order evolution control systems. II.”

On composants of solenoids

Ronald de Man (1995)

Fundamenta Mathematicae

Similarity:

It is proved that any two composants of any two solenoids are homeomorphic.

Lefschetz coincidence formula on non-orientable manifolds

Daciberg Gonçalves, Jerzy Jezierski (1997)

Fundamenta Mathematicae

Similarity:

We generalize the Lefschetz coincidence theorem to non-oriented manifolds. We use (co-) homology groups with local coefficients. This generalization requires the assumption that one of the considered maps is orientation true.

A factorization theorem for the transfinite kernel dimension of metrizable spaces

M. Charalambous (1998)

Fundamenta Mathematicae

Similarity:

We prove a factorization theorem for transfinite kernel dimension in the class of metrizable spaces. Our result in conjunction with Pasynkov's technique implies the existence of a universal element in the class of metrizable spaces of given weight and transfinite kernel dimension, a result known from the work of Luxemburg and Olszewski.

The hyperspace of finite subsets of a stratifiable space

Robert Cauty, Bao-Lin Guo, Katsuro Sakai (1995)

Fundamenta Mathematicae

Similarity:

It is shown that the hyperspace of non-empty finite subsets of a space X is an ANR (an AR) for stratifiable spaces if and only if X is a 2-hyper-locally-connected (and connected) stratifiable space.